Classes of Harmonic Functions Related to Mittag-Leffler Function

Abeer A. Al-Dohiman; Basem Aref Frasin; Naci Taşar; Fethiye Müge Sakar

doi:10.3390/axioms12070714

Axioms (Jul 2023)

Classes of Harmonic Functions Related to Mittag-Leffler Function

Abeer A. Al-Dohiman,
Basem Aref Frasin,
Naci Taşar,
Fethiye Müge Sakar

Affiliations

Abeer A. Al-Dohiman: Department of Mathematics, Faculty of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia
Basem Aref Frasin: Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq 25113, Jordan
Naci Taşar: Department of Management, Faculty of Economics and Administrative Sciences, Dicle University, Diyarbakir 21280, Turkey
Fethiye Müge Sakar: Department of Management, Faculty of Economics and Administrative Sciences, Dicle University, Diyarbakir 21280, Turkey

DOI: https://doi.org/10.3390/axioms12070714
Journal volume & issue: Vol. 12, no. 7
p. 714

Abstract

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The purpose of this paper is to find new inclusion relations of the harmonic class HF(ϱ,γ) with the subclasses SHF*,KHF and TNHF(τ) of harmonic functions by applying the convolution operator Θ(ℑ) associated with the Mittag-Leffler function. Further for ϱ=0, several special cases of the main results are also obtained.

Published in Axioms

ISSN: 2075-1680 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/axioms

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